Skip to main content

A Semi-naive Bayes Classifier with Grouping of Cases

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4724))

Abstract

In this work, we present a semi-naive Bayes classifier that searches for dependent attributes using different filter approaches. In order to avoid that the number of cases of the compound attributes be too high, a grouping procedure is applied each time after two variables are merged. This method tries to group two or more cases of the new variable into an unique value. In an emperical study, we show as this approach outperforms the naive Bayes classifier in a very robust way and reaches the performance of the Pazzani’s semi-naive Bayes [1] without the high cost of a wrapper search.

This work has been supported by the Spanish ‘Consejer’ía de Innovación, Ciencia y Empresa de la Junta de Andalucía’ and ‘Ministerio de Educación y Ciencia’, under Projects TIC-276 and TIN2004-06204-C03-02 and FPU scholarship (AP2004-4678).

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   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Pazzani, M.J.: Searching for dependencies in bayesian classifiers. Lecture Notes in Statistics, vol. 112, pp. 239–248 (1995)

    Google Scholar 

  2. Abellán, J.: Application of Uncertainty Measures on Credal Sets on the Naive Bayes Classifier. Int. J. of General Systems 35(6), 675–686 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  3. Abellán, J., Moral, S.: Upper entropy of credal sets. Applications to credal classification. Int. J. of Approximate Reasoning 39(2-3), 235–255 (2005)

    Article  MATH  Google Scholar 

  4. Abellán, J., Klir, G.J., Moral, S.: Disaggregated total uncertainty measure for credal sets. Int. J. of General Systems 35(1), 29–44 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  5. Kononenko, I.: Semi-naive bayesian classifier. In: EWSL 1991: Proceedings of the European working session on learning on Machine learning, pp. 206–219. Springer, Heidelberg (1991)

    Google Scholar 

  6. Zheng, F., Webb, G.: A comparative study of semi-naive bayes methods in classification learning. In: Proc. 4th Australasian Data Mining conference, pp. 141–156 (2005)

    Google Scholar 

  7. Domingos, P., Pazzani, M.J.: On the optimality of the simple bayesian classifier under zero-one loss. Machine Learning 29(2-3), 103–130 (1997)

    Article  MATH  Google Scholar 

  8. Heckerman, D., Geiger, D., Chickering, D.M.: Learning bayesian networks: The combination of knowledge and statistical data. In: KDD Workshop, pp. 85–96 (1994)

    Google Scholar 

  9. Neapolitan, R.E.: Learning Bayesian Networks. Prentice-Hall, Englewood Cliffs (2004)

    Google Scholar 

  10. Wilks, S.S.: The large-sample distribution of the likelihood ratio for testing composite hypotheses. Annals of Mathematical Statistics 9, 60–62 (1938)

    Article  MATH  Google Scholar 

  11. Fayyad, U., Irani, K.: Multi-interval discretization of continuous-valued attributes for classification learning. In: Proc. of 13th Int. Joint Conf. on AI (1993)

    Google Scholar 

  12. Consortium, E.: Elvira: An environment for probabilistic graphical models. In: Proceedings of the 1st European Workshop on Probabilistic Graphical Models (2002)

    Google Scholar 

  13. Witten, I.H., Frank, E.: Data mining: practical machine learning tools and techniques with Java implementations. Morgan Kaufmann, San Francisco (2000)

    Google Scholar 

  14. Duda: Pattern Classification and SceneAnalysis. John Wiley & Sons, Chichester (1973)

    Google Scholar 

  15. Webb, G.I., Boughton, J.R., Wang, Z.: Not so naive bayes: Aggregating onedependence estimators. Mach. Learn. 58(1), 5–24 (2005)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Abellán, J., Cano, A., Masegosa, A.R., Moral, S. (2007). A Semi-naive Bayes Classifier with Grouping of Cases. In: Mellouli, K. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2007. Lecture Notes in Computer Science(), vol 4724. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75256-1_43

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-75256-1_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75255-4

  • Online ISBN: 978-3-540-75256-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics