Skip to main content

On an Multi-directional Searching Algorithm for Two Fuzzy Clustering Methods for Categorical Multivariate Data

  • Conference paper
  • First Online:
Integrated Uncertainty in Knowledge Modelling and Decision Making (IUKM 2022)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 13199))

  • 550 Accesses

Abstract

Clustering for categorical multivariate data is an important task for summarizing co-occurrence information that consists of mutual affinity among objects and items. This work focus on two fuzzy clustering methods for categorical multivariate data. One of the serious limitations for these methods is the local optimality problem. In this work, an algorithm is proposed to address this issue. The proposed algorithm incorporates multiple token search generated from the eigen decomposition of the Hessian of the objective function. Numerical experiments using an artificial dataset shows that the proposed algorithm is valid.

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 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
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

Similar content being viewed by others

References

  1. MacQueen, J.B.: Some methods for classification and analysis of multivariate observations. In: Proceedings of the 5th Berkeley Symposium on Mathematical Statistics and Probability, pp. 281–297 (1967)

    Google Scholar 

  2. Rigouste, L., Cappé, O., Yvon, F.: Inference and evaluation of the multinomial mixture model for text clustering. Inf. Process. Manag. 43(5), 1260–1280 (2007)

    Article  Google Scholar 

  3. Honda, K., Oshio, S., Notsu, A.: Fuzzy co-clustering induced by multinomial mixture models. JACIII 19(6), 717–726 (2015)

    Article  Google Scholar 

  4. Kondo, T., Kanzawa, Y.: Fuzzy clustering methods for categorical multivariate data based on \(q\)-divergence. JACIII 22(4), 524–536 (2018)

    Article  Google Scholar 

  5. Arthur, D., Vassilvitskii, S.: k-means++: the advantages of careful seeding. In: Proceedings of the 8th Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 1027–1035 (2007)

    Google Scholar 

  6. Ishikawa, Y., Nakano, R.: Landscape of a likelihood surface for a gaussian mixture and its use for the EM algorithm. In: Proceedings of the IJCNN2006, pp. 2413–2419 (2006)

    Google Scholar 

  7. Ueda, N., Nakano, R.: Deterministic annealing EM algorithm. Neural Netw. 11(2), 271–282 (1998)

    Article  Google Scholar 

  8. Higashi, M., Kondo, T., Kanzawa, Y.: Fuzzy clustering method for spherical data based on q-divergence. JACIII 23(3), 561–570 (2019)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kazune Suzuki .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Suzuki, K., Kanzawa, Y. (2022). On an Multi-directional Searching Algorithm for Two Fuzzy Clustering Methods for Categorical Multivariate Data. In: Honda, K., Entani, T., Ubukata, S., Huynh, VN., Inuiguchi, M. (eds) Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2022. Lecture Notes in Computer Science(), vol 13199. Springer, Cham. https://doi.org/10.1007/978-3-030-98018-4_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-98018-4_15

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-98017-7

  • Online ISBN: 978-3-030-98018-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics