Skip to main content

Investigating Ensemble Weight and the Certainty Distributions for Indicating Structural Diversity

  • Conference paper
Advances in Neuro-Information Processing (ICONIP 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5507))

Included in the following conference series:

Abstract

In this paper an investigation of the distribution of the weights and the biases of the Multilayered Perceptron is conducted, in particular the variance of the weight vector (weights and biases) with the aim of indicating the existence of the structural diversity within the ensemble. This will indicate how well the weight vector samples are distributed from the mean and this will be used to serve as an indicator of the structural diversity of the classifiers within the ensemble. This is inspired by the fact that many measures of ensemble diversity are focused on the outcomes and not the classifier’s structure and hence may lose out in diversity measures that correlate well with ensemble performance. Three ensembles were compared, one non-diverse and the other two ensembles made diverse. The generalization across all the ensembles was approximately the same (74 % accuracy). This could be attributed to the data used. Certainty measures were also conducted and indicated that the non-diverse ensemble was biased, even though the performance across the ensembles was the same.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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.

Similar content being viewed by others

References

  1. Igelnik, B., Pao, Y., Leclair, S., Shen, C.: The ensemble approach to neural-network learning and generalization. IEEE transactions on neural networks 10(1), 19–30 (1999)

    Article  Google Scholar 

  2. Islam, M.M., Yao, X., Nirjon, S.M.S., Islam, M.A., Murase, K.: Bagging and boosting negatively correlated neural networks. IEEE transactions on systems, man, and cybernetics. Part B 38, 771–784 (2008)

    Article  Google Scholar 

  3. Kuncheva, L.I., Skurichina, M.: An experimental study on diversity for bagging and boosting with linear classifiers. Information Fusion 3, 245–258 (2002)

    Article  Google Scholar 

  4. Polikar, R.: Ensemble based systems in decision making. IEEE Circuits and Systems Magazine 6(3), 21–45 (2006)

    Article  Google Scholar 

  5. Shipp, C.A., Kuncheva, L.I.: Relationships between combination methods and measures of diversity in combining classifiers. Information Fusion 3(2), 135–148 (2002)

    Article  Google Scholar 

  6. Lam, L.: Classifier Combinations: Implementations and Theoretical Issues. In: Kittler, J., Roli, F. (eds.) MCS 2000. LNCS, vol. 1857, pp. 78–86. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  7. Gal-Or, M., May, J.H., Spangler, W.E.: Assessing the predictive accuracy of diversity measures with domain-dependent asymmetric misclassification costs. Information Fusion 6(1), 37–48 (2005)

    Article  Google Scholar 

  8. Brown, G.: Diversity in neural network ensembles. Ph.D. thesis, School of Computer Science, University of Birmingham (2004)

    Google Scholar 

  9. Kuncheva, L.I., Whitaker, C.J.: Measures of diversity in classifier ensembles. Machine Learning 51, 181–207 (2003)

    Article  MATH  Google Scholar 

  10. Tumer, K., Ghosh, J.: Error correlation and reduction in ensemble classifiers. Connection Science 8, 385–404 (1996)

    Article  Google Scholar 

  11. Masisi, L., Nelwamondo, F.V., Marwala, T.: The effect of structural diversity of an ensemble of classifiers on classification accuracy. In: IASTED International Conference on Modelling and Simulation, Africa-MS (2008)

    Google Scholar 

  12. Breiman, L.: Bagging predictors. Machine Learning 24, 123–140 (1992)

    MATH  Google Scholar 

  13. Cantu-Paz, E., Kamath, C.: An empirical comparison of combinations of evolutionary algorithms and neural networks for classification problems. Systems, Man, and Cybernetics-Part B: Cybernetics 35, 915–927 (2005)

    Article  Google Scholar 

  14. Izrailev, S., Agrafiotis, D.K.: A method for quantifying and visualizing the diversity of qsar models. Journal of Molecular Graphics and Modelling 22, 275–284 (2004)

    Article  Google Scholar 

  15. Jimenez, D.A., Walsh, N.: Dynamically weighted ensemble neural networks for classification. In: Proceedings of the 1998 International Joint Conference on Neural Networks (1998)

    Google Scholar 

  16. Marwala, T., Lagazio, M.: Modeling and controlling interstate conflict. In: IEEE International Joint Conference on Neural Networks, Budapest, Hungary, pp. 1233–1238 (2004)

    Google Scholar 

  17. Kuncheva, L.I., Whitaker, C.J., Shipp, C.A., Duin, R.P.W.: Is independence good for combining classiffiers? In: Proceedings of 15th International Conference on Parttern Recognition, vol. 2, pp. 168–171 (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Masisi, L.M., Nelwamondo, F., Marwala, T. (2009). Investigating Ensemble Weight and the Certainty Distributions for Indicating Structural Diversity. In: Köppen, M., Kasabov, N., Coghill, G. (eds) Advances in Neuro-Information Processing. ICONIP 2008. Lecture Notes in Computer Science, vol 5507. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03040-6_63

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-03040-6_63

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03039-0

  • Online ISBN: 978-3-642-03040-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics