Skip to main content

A Deterministic Clustering Framework in MMMs-Induced Fuzzy Co-clustering

  • Conference paper
  • First Online:
Integrated Uncertainty in Knowledge Modelling and Decision Making (IUKM 2015)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9376))

Abstract

Although various FCM-type clustering models are utilized in many unsupervised classification tasks, they often suffer from bad initialization. The deterministic clustering approach is a practical procedure for utilizing a robust feature of very fuzzy partitions and tries to converge the iterative FCM process to a plausible solution by gradually decreasing the fuzziness degree. In this paper, a novel framework for implementing the deterministic annealing mechanism to fuzzy co-clustering is proposed. The advantages of the proposed framework against the conventional statistical co-clustering model are demonstrated through some numerical experiments.

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

Access this chapter

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press (1981)

    Google Scholar 

  2. Miyamoto, S., Ichihashi, H., Honda, K.: Algorithms for Fuzzy Clustering. Springer (2008)

    Google Scholar 

  3. Rose, K., Gurewitz, E., Fox, G.: A deterministic annealing approach to clustering. Pattern Recognition Letters 11, 589–594 (1990)

    Article  MATH  Google Scholar 

  4. Miyamoto, S., Mukaidono, M.: Fuzzy \(c\)-means as a regularization and maximum entropy approach. In: Proc. of the 7th International Fuzzy Systems Association World Congress, vol. 2, pp. 86–92 (1997)

    Google Scholar 

  5. Oh, C.-H., Honda, K., Ichihashi, H.: Fuzzy clustering for categorical multivariate data. In: Proc. of Joint 9th IFSA World Congress and 20th NAFIPS International Conference, pp. 2154–2159 (2001)

    Google Scholar 

  6. Rigouste, L., Cappé, O., Yvon, F.: Inference and evaluation of the multinomial mixture model for text clustering. Information Processing and Management 43(5), 1260–1280 (2007)

    Article  Google Scholar 

  7. Honda, K., Oshio, S., Notsu, A.: FCM-type fuzzy co-clustering by K-L information regularization. In: Proc. of 2014 IEEE International Conference on Fuzzy Systems, pp. 2505–2510 (2014)

    Google Scholar 

  8. Honda, K., Oshio, S., Notsu, A.: Fuzzy co-clustering induced by multinomial mixture models. Journal of Advanced Computational Intelligence and Intelligent Informatics 19 (to appear, 2015)

    Google Scholar 

  9. Honda, K., Ichihashi, H.: Regularized linear fuzzy clustering and probabilistic PCA mixture models. IEEE Transactions on Fuzzy Systems 13(4), 508–516 (2005)

    Article  Google Scholar 

  10. Honda, K., Oshio, S., Notsu, A.: Item membership fuzzification in fuzzy co-clustering based on multinomial mixture concept. In: Proc. of 2014 IEEE International Conference on Granular Computing, pp. 94–99 (2014)

    Google Scholar 

  11. MacQueen, J. B.: Some methods of classification and analysis of multivariate observations. In: Proc. of 5th Berkeley Symposium on Math. Stat. and Prob., pp. 281–297 (1967)

    Google Scholar 

  12. Liu, Z.-Q., Miyamoto, S. (eds.): Soft Computing and Human-Centered Machines. Springer-Verlag (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Katsuhiro Honda .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Oshio, S., Honda, K., Ubukata, S., Notsu, A. (2015). A Deterministic Clustering Framework in MMMs-Induced Fuzzy Co-clustering. In: Huynh, VN., Inuiguchi, M., Demoeux, T. (eds) Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2015. Lecture Notes in Computer Science(), vol 9376. Springer, Cham. https://doi.org/10.1007/978-3-319-25135-6_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-25135-6_20

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25134-9

  • Online ISBN: 978-3-319-25135-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics