Skip to main content

A New Hybrid Clustering Approach Based on Heuristic Kalman Algorithm

  • Conference paper
  • First Online:
Swarm, Evolutionary, and Memetic Computing (SEMCCO 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8947))

Included in the following conference series:

  • 1621 Accesses

Abstract

Clustering is an important methodology for data mining and data analysis. K-Means is a simple and fast algorithm for clustering data. However the performance of K-means is highly sensitive on the initial seed of the algorithm. Heuristic Kalman Algorithm (HKA) is a population based stochastic optimization technique which is an effective method for searching a near-optimal solution of a function. Although HKA has good global search characteristics, it is shown that when directly applied on clustering it performs poorly. This paper proposes a new approach KHKA, which combines the benefits of the global nature of HKA and the fast convergence of K-means. KHKA was implemented and benchmarked on synthetic and real datasets from UCI Machine Learning Repository. The results were compared with other population based, stochastic algorithms. Results show that KHKA is a promising algorithm and was able to perform better than the compared algorithms with respect to the used datasets.

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 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

Institutional subscriptions

References

  1. Selim, S.Z., Ismail, M.A.: K-means-type algorithms: a generalized convergence theorem and characterization of local optimality. IEEE Trans. Pattern Anal. Mach. Intell. PAMI–6, 81–87 (1984)

    Article  Google Scholar 

  2. Sung, C., Jin, H.: A tabu-search-based heuristic for clustering. Pattern Recogn. 33, 849–858 (2000)

    Article  Google Scholar 

  3. Toscano, R., Lyonnet, P.: A new heuristic approach for non-convex optimization problems. Inf. Sci. 180, 1955–1966 (2010). Special Issue on Intelligent Distributed Information Systems

    Article  MathSciNet  MATH  Google Scholar 

  4. Han, J., Kamber, M., Pei, J.: Data Mining: Concepts and Techniques, 3rd edn. Morgan Kaufmann Publishers Inc., San Francisco, CA, USA (2011)

    Google Scholar 

  5. Jain, A.K.: Data clustering: 50 years beyond k-means. Pattern Recogn. Lett. 31(8), 651–666 (2010). Award winning papers from the 19th International Conference on Pattern Recognition (ICPR)

    Article  Google Scholar 

  6. Bishop, C.M.: Pattern Recognition and Machine Learning (Information Science and Statistics). Springer-Verlag New York Inc, Secaucus, NJ, USA (2006)

    Google Scholar 

  7. Bache, K., Lichman, M.: UCI machine learning repository (2013)

    Google Scholar 

  8. Pal, S.K., Dutta Majumder, D.: Fuzzy sets and decision making approaches in vowel and speaker recognition. IEEE Trans. Syst. Man Cybern. 7, 625–629 (1977)

    Article  MATH  Google Scholar 

  9. Maulik, U., Bandyopadhyay, S.: Genetic algorithm-based clustering technique. Pattern Recogn. 33, 1455–1465 (2000)

    Article  Google Scholar 

  10. Chen, C.Y., Ye, F.: Particle swarm optimization algorithm and its application to clustering analysis. In: IEEE International Conference on Networking, Sensing and Control, 2004, vol. 2, pp. 789–794 (2004)

    Google Scholar 

  11. Sanderson, C.: Armadillo: an open source C++ linear algebra library for fast prototyping and computationally intensive experiments. Technical report, NICTA, Australia (2010)

    Google Scholar 

  12. Hatamlou, A., Abdullah, S., Nezamabadi-pour, H.: A combined approach for clustering based on k-means and gravitational search algorithms. Swarm Evol. Comput. 6, 47–52 (2012)

    Article  Google Scholar 

Download references

Acknowledgments

The author would like to thank Dr. Vikram Pakrashi, University College Cork, Ireland, for the valuable suggestions, discussions and constant support throughout the entire period of research.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Arjun Pakrashi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Pakrashi, A. (2015). A New Hybrid Clustering Approach Based on Heuristic Kalman Algorithm. In: Panigrahi, B., Suganthan, P., Das, S. (eds) Swarm, Evolutionary, and Memetic Computing. SEMCCO 2014. Lecture Notes in Computer Science(), vol 8947. Springer, Cham. https://doi.org/10.1007/978-3-319-20294-5_39

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-20294-5_39

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20293-8

  • Online ISBN: 978-3-319-20294-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics