Skip to main content

Discriminatively Learning Selective Averaged One-Dependence Estimators Based on Cross-Entropy Method

  • Conference paper
Book cover Computational Intelligence and Security (CIS 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4456))

Included in the following conference series:

  • 739 Accesses

Abstract

Averaged One-Dependence Estimators [1], simply AODE, is a recently proposed algorithm which weakens the attribute independence assumption of naïve Bayes by averaging all the probability estimates of a collection of one-dependence estimators and demonstrates significantly high classification accuracy. In this paper, we study the selective AODE problem and proposed a Cross-Entropy based method to search the optimal subset over the whole one-dependence estimators. We experimentally test our algorithm in term of classification accuracy, using the 36 UCI data sets recommended by Weka, and compare it to C4.5[5], naïve Bayes, CL-TAN[6], HNB[7], AODE and LAODE[3]. The experiment results show that our method significantly outperforms all the other algorithms used to compare, and remarkably reduces the number of one-dependence estimators used compared to AODE.

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 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.

References

  1. Webb, G.I., Boughton, J., Wang, Z.: Not so naïve bayes: Aggregating one-dependence estimators. Machine Learning 58, 5–24 (2005)

    Article  MATH  Google Scholar 

  2. Yang, Y., Webb, G.I., et al.: To Select or To Weight: A Comparative Study of Model Selection and Model Weighting for SPODE Ensembles. In: Fürnkranz, J., Scheffer, T., Spiliopoulou, M. (eds.) ECML 2006. LNCS (LNAI), vol. 4212, pp. 170–181. Springer, Heidelberg (2006)

    Google Scholar 

  3. Zhang, F., Webb, G.I.: Efficient lazy elimination for averaged one-dependence estimators. In: Proceedings of 23rd International conference on Machine Learning (ICML) (2006)

    Google Scholar 

  4. Cerquides, J., Mantaras, R.L.D.: Robust Bayesian linear classifier ensembles. In: Gama, J., Camacho, R., Brazdil, P.B., Jorge, A.M., Torgo, L. (eds.) ECML 2005. LNCS (LNAI), vol. 3720, pp. 70–81. Springer, Heidelberg (2005)

    Google Scholar 

  5. Quinlan, J.: C4.5: Programs for Machine Learning. Morgan Kaufmann, San Mateo (1993)

    Google Scholar 

  6. Friedman, N., Geiger, D., Goldszmidt, M.: Bayesian Network Classifiers. Machine Learning 29, 131–163 (1997)

    Article  MATH  Google Scholar 

  7. Zhang, H., Jiang, L.X., Su, J.: Hidden Naive Bayes. In: Proceeding of 20th National conference on Artificial Intelligence (AAAI), pp. 919–924 (2005)

    Google Scholar 

  8. Jiang, L.X., Zhang, H.: Weighted Averaged One-Dependence Estimators. In: Yang, Q., Webb, G. (eds.) PRICAI 2006. LNCS (LNAI), vol. 4099, pp. 970–974. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  9. Chickering, D.M.: Learning Bayesian networks is NP-Complete. In: Fisher, D., Lenz, H. (eds.) Learning from Data: Artificial Intelligence and Statistics, pp. 121–130 (1996)

    Google Scholar 

  10. The Cross-Entropy Method, http://iew3.technion.ac.il/CE/about.php

  11. Rubinstein, R.Y, Kroese, D.P (eds.): The Cross-Entropy Method: A Unified Approach to Combinatorial Optimization, Monte-Carlo Simulation and Machine Learning. Springer, New York (2004)

    MATH  Google Scholar 

  12. De Boer, P-T., Kroese, D.P, Mannor, S., Rubinstein, R.Y.A: Tutorial on the Cross-Entropy Method. Annals of Operations Research. 134, 19–67 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  13. Blake, C., Merz, C.J.: UCI repository of machine learning databases. In: Department of ICS, University of California, Irvine, http://www.ics.uci.edu/~mlearn/MLRepository.html.

  14. Witten, I.H., Frank, E.: Data Mining: Practical Machine Learning Tools and Technology with Java Implementation. Morgan Kaufmann, San Francisco (2000)

    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

Wang, Q., Zhao, Bh. (2007). Discriminatively Learning Selective Averaged One-Dependence Estimators Based on Cross-Entropy Method. In: Wang, Y., Cheung, Ym., Liu, H. (eds) Computational Intelligence and Security. CIS 2006. Lecture Notes in Computer Science(), vol 4456. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74377-4_95

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74377-4_95

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74376-7

  • Online ISBN: 978-3-540-74377-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics