Skip to main content

Co-clustering with Manifold and Double Sparse Representation

  • Conference paper
  • First Online:
  • 1993 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 10585))

Abstract

Clustering is a fundamental tool that has been applied in dealing with huge volumes of text documents and images. For extracting relevant information from the enormous volumes of available data, some co-clustering algorithms have been proposed and shown to be superior to traditional one-side clustering. In this paper, we proposed a novel co-clustering approach called double sparse manifold learning (DSML). We based our formulation on double sparse constraints and manifold learning which use a modified version of mutual k-nearest neighbor graph to capture the underlying structure, modeled sample-feature relationship from the data reconstruction perspective. We developed an iterative procedure to get the solution. Our method preserves local geometrical structure better. Experiments on three benchmark datasets show that our method can get more promising performance on all analyzed data-sets.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Rohe, K., Qin, T., Bin, Y.: Co-clustering directed graphs to discover asymmetries and directional communities. Proc. Nat. Acad. Sci. 113(45), 12679–12684 (2016)

    Article  MathSciNet  Google Scholar 

  2. Wang, S., Huang, A.: Penalized nonnegative matrix tri-factorization for co-clustering. Expert Syst. Appl. 78, 64–73 (2017)

    Article  Google Scholar 

  3. Del Buono, N., Pio, G.: Non-negative matrix tri-factorization for co-clustering: an analysis of the block matrix. Inf. Sci. 301, 13–26 (2015)

    Article  Google Scholar 

  4. Busygin, S., Prokopyev, O., Pardalos, P.M.: Biclustering in data mining. Comput. Oper. Res. 35(9), 2964–2987 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  5. Gu, Q., Zhou, J.: Co-clustering on manifolds. In: Proceedings of the 15th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 359–368. ACM (2009)

    Google Scholar 

  6. Li, P., Bu, J., Chen, C., He, Z.: Relational co-clustering via manifold ensemble learning. In: Proceedings of the 21st ACM International Conference on Information and Knowledge Management, pp. 1687–1691. ACM (2012)

    Google Scholar 

  7. Li, P., Jiajun, B., Chen, C., He, Z., Cai, D.: Relational multimanifold coclustering. IEEE Trans. Cybern. 43(6), 1871–1881 (2013)

    Article  Google Scholar 

  8. Allab, K., Labiod, L., Nadif, M.: Multi-manifold matrix decomposition for data co-clustering. Pattern Recogn. 64, 386–398 (2017)

    Article  Google Scholar 

  9. Papalexakis, E.E., Sidiropoulos, N.D., Bro, R.: From k-means to higher-way co-clustering: multilinear decomposition with sparse latent factors. IEEE Trans. Signal Process. 61(2), 493–506 (2013)

    Article  Google Scholar 

  10. Aharon, M., Elad, M., Bruckstein, A.: K-SVD: an algorithm for designing overcomplete dictionaries for sparse representation. IEEE Trans. Sig. Process. 54(11), 4311–4322 (2006)

    Article  Google Scholar 

  11. Sill, M., Kaiser, S., Benner, A., Kopp-Schneider, A.: Robust biclustering by sparse singular value decomposition incorporating stability selection. Bioinformatics 27(15), 2089–2097 (2011)

    Article  Google Scholar 

  12. Lee, M., Shen, H., Huang, J.Z., Marron, J.S.: Biclustering via sparse singular value decomposition. Biometrics 66(4), 1087–1095 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  13. Ji, S., Zhang, W., Liu, J.: A sparsity-inducing formulation for evolutionary co-clustering. In: Proceedings of the 18th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 334–342. ACM (2012)

    Google Scholar 

  14. Kontschieder, P., Donoser, M., Bischof, H.: Improving affinity matrices by modified mutual KNN-graphs. In: 33rd Workshop of the Austrian Association for Pattern Recognition (AAPR/OAGM) (2009)

    Google Scholar 

  15. Donoser, M.: Replicator graph clustering. In: BMVC (2013)

    Google Scholar 

  16. Zheng, M., Jiajun, B., Chen, C., Wang, C., Zhang, L., Qiu, G., Cai, D.: Graph regularized sparse coding for image representation. IEEE Trans. Image Process. 20(5), 1327–1336 (2011)

    Article  MathSciNet  Google Scholar 

  17. Lee, H., Battle, A., Raina, R., Ng, A.Y.: Efficient sparse coding algorithms. In: Advances in Neural Information Processing Systems, vol. 19, p. 801 (2007)

    Google Scholar 

  18. Cai, D., He, X., Wu, X., Han, J.: Non-negative matrix factorization on manifold. In: Eighth IEEE International Conference on Data Mining, ICDM 2008, pp. 63–72. IEEE (2008)

    Google Scholar 

  19. Cai, D., He, X., Han, J., Huang, T.S.: Graph regularized nonnegative matrix factorization for data representation. IEEE Trans. Pattern Anal. Mach. Intell. 33(8), 1548–1560 (2011)

    Article  Google Scholar 

Download references

Acknowledgements

This research is supported by National Natural Science Foundation of China, under Grant No. 61272304. Supported by National Nature Science Foundation under Grant No. 61363029. Supported by The Key Laboratory of image and graphic intelligent processing of higher education in Guangxi (No. GIIP201606). Supported by Guangxi Key Laboratory of Trusted Software (No. kx201628)

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sanyuan Zhang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Li, F., Zhang, S. (2017). Co-clustering with Manifold and Double Sparse Representation. In: Yin, H., et al. Intelligent Data Engineering and Automated Learning – IDEAL 2017. IDEAL 2017. Lecture Notes in Computer Science(), vol 10585. Springer, Cham. https://doi.org/10.1007/978-3-319-68935-7_31

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-68935-7_31

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-68934-0

  • Online ISBN: 978-3-319-68935-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics