Skip to main content

Maximum entropy optimization for text classification problems

  • Chapter
Multi-Criteria- und Fuzzy-Systeme in Theorie und Praxis

Abstract

We present a text classification method based upon maximum entropy optimization. Having a set of documents which must be classified into some given classes, a maximum entropy optimization problem is considered. In order to solve this problem, we consider its Lagrange dual and we derive, by means of strong duality, the optimality conditions.

After solving the dual problem, we obtain, as solution of the primal problem, a distribution of probabilities representing the chances of the documents to belong to each class.

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 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 79.99
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. Baeza-Yates, R., Ribeiro-Neto, B. (1999) Modern Information Retrieval. Addison-Wesley Verlag

    Google Scholar 

  2. Bapat, R.B., Raghavan, T.E.S. (1997) Nonnegative Matrices and Applications. Cambridge University Press, Cambridge

    Book  Google Scholar 

  3. Berger, A.L., Delia Pietra, S.A., Delia Pietra, V.J. (1996) A Maximum Entropy Approach to Natural Language Processing. Comput. Ling. 22, 1, 1–36

    Article  Google Scholar 

  4. Darroch, J.N., Ratcliff, D. (1972) Genelarized iterative scaling for log-linear models. Ann. Math. Stat. 43, 1470–1480

    Article  Google Scholar 

  5. Delia Pietra, S., Delia Pietra, V., Lafferty, J. (1997) Inducing Features of Random Fields. IEEE Trans. Pattern Anal. Mach. Intell. 19, 4, 1–13

    Google Scholar 

  6. Elster, K.H., Reinhart, R., Schäuble, M., Donath, G. (1977) Einführung in die nichtlineare Optimierung. BSB B.G. Teubner Verlagsgesellschaft, Leipzig

    Google Scholar 

  7. Fang, S.C., Rajasekera, J.R., Tsao, H.-S.J. (1997) Entropy Optimization and Mathematical Programming. Kluwer Academic Publishers, Boston

    Book  Google Scholar 

  8. Guiaşu, S., Shenitzer, A. (1985) The Principle of Maximum Entropy. The Math. Intell. 7, 1, 42–48

    Article  Google Scholar 

  9. Jurafsky, D., Martin, J.H. (2000) Speech and Language Processing. Prentice-Hall Inc.

    Google Scholar 

  10. Kapur, J.N., Kesavan, H.K. (1992) Entropy Optimization Principles with Applications. Academic Press Inc., San Diego

    Google Scholar 

  11. Nigam, K., Lafferty, J., McCallum, A. (1999) Using Maximum Entropy for Text Classification. Proceedings of IJCAI-99 Workshop on Machine Learning for Information Filtering, 61–67

    Google Scholar 

  12. Wanka, G., Boţ, R.I. (2002) On the Relations Between Different Dual Problems in Convex Mathematical Programming. In Chamoni, P., Leisten, R., Martin, A., Minnemann, J., Stadtler, H., (eds.), Operations Research Proceedings 2001, Springer, Heidelberg, 255–262

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Walter Habenicht Beate Scheubrein Ralph Scheubrein

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Deutscher Universitäts-Verlag/GWV Fachverlage GmbH, Wiesbaden

About this chapter

Cite this chapter

Boţ, R.I., Grad, SM., Wanka, G. (2003). Maximum entropy optimization for text classification problems. In: Habenicht, W., Scheubrein, B., Scheubrein, R. (eds) Multi-Criteria- und Fuzzy-Systeme in Theorie und Praxis. Deutscher Universitätsverlag. https://doi.org/10.1007/978-3-322-81539-2_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-322-81539-2_13

  • Publisher Name: Deutscher Universitätsverlag

  • Print ISBN: 978-3-8244-7864-4

  • Online ISBN: 978-3-322-81539-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics