Skip to main content

Probabilistic Ranking Support Vector Machine

  • Conference paper
Advances in Neural Networks – ISNN 2009 (ISNN 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5552))

Included in the following conference series:

Abstract

Recently, Support Vector Machines (SVMs) have been applied very effectively in learning ranking functions (or preference functions).They intend to learn ranking functions with the principles of the large margin and the kernel trick. However, the output of a ranking function is a score function which is not a calibrated posterior probability to enable post-processing. One approach to deal with this problem is to apply a generalized linear model with a link function and solve it by calculating the maximum likelihood estimate. But, if the link function is nonlinear, maximizing the likelihood will face with difficulties. Instead, we propose a new approach which train an SVM for a ranking function, then map the SVM outputs into a probabilistic sigmoid function whose parameters are trained by using cross-validation. This method will be tested on three data-mining datasets and compared to the results obtained by standard SVMs.

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. Vapnik, V.N.: Statistical Learning Theory. John Wiley and Sons, Chichester (1998)

    MATH  Google Scholar 

  2. Burges, C.J.C.: A Tutorial on Support Vector Machines for Pattern Recognition. In: Data Mining and Knowledge Discovery. Springer, Heidelberg (1998)

    Google Scholar 

  3. Platt, J.C.: Probabilistic Outputs for Support Vector Machines and Comparisons to Regularized Likelihood Methods. In: Advances in Large Margin Classifiers. MIT Press, Cambridge (1999)

    Google Scholar 

  4. Wahba, G.: Support Vector Machine, Reproducing Kernel Hilbert Spaces and the Randomized GACV. In: Advances in Kernel Methods: Support Vector Learning. MIT Press, Cambridge (1999)

    Google Scholar 

  5. Gill, P.E., Murray, W., Wright, M.H.: Practical Optimization. Academic Press, London (1981)

    MATH  Google Scholar 

  6. Yu, H.: SVM Selective Sampling for Ranking with Application to Data Retrieval. In: ACM Special Interest Group on Knowledge Discovery in Data, USA (2005)

    Google Scholar 

  7. Herbrich, R., Graepel, T., Obermayer, K.: Large Margin Rank Boundaries for Ordinal Regression. In: Advances in Large Margin Classifiers. MIT Press, Cambridge (2000)

    Google Scholar 

  8. Cao, Y., Xu, J., Liu, T.Y., Li, H., Huang, Y., Hon, H.W.: Adapting Ranking SVM to Document Retrieval. In: ACM SIGIR 2006, USA (2006)

    Google Scholar 

  9. Noble, W.S.: Support Vector Machine Applications in Computational Biology. In: Schoelkopf, B., Tsuda, K., Vert, J.P. (eds.) Kernel Methods in Computational Biology, pp. 71–92. MIT Press, Cambridge (2004)

    Google Scholar 

  10. Taylor, J.S.: Nello Cristianini. Support Vector Machines and Other Kernel-Based Learning Methods. Cambridge University Press, Cambridge (2000)

    Google Scholar 

  11. Yeh, J.Y., Lin, J.Y.: Learning to Rank for Information Retrieval Using Genetic Programming. In: SIGIR 2007, Amsterdam, Netherlands (2007)

    Google Scholar 

  12. Radlinski, F., Joachims, T., Chain, Q.: Learning to Rank from Implicit Feedback. In: ACM SIGKDD (2005)

    Google Scholar 

  13. Acevedo, F.J., Maldonado, S., Domínguez, E., Narváez, A., López, F.: Probabilistic Support Vector Machines for Multi-Class Alcohol Identification. Journal: Sensors and Actuators B: Chemical (2006) ISSN: 0925-4005

    Google Scholar 

  14. Ana, M.B., Nikolik, D., Curfs, L.M.G.: Probabilistic SVM Outputs for Pattern Recognition Using Aanalytical Geometry. Neurocomputing 62 (2004)

    Google Scholar 

  15. Lin, H., Liu, T., Chuang, J.: A Probabilistic SVM Approach for Background Scene Initialization. In: International Conference on Image Processing (2002)

    Google Scholar 

  16. Tao, Q., Liu, T.Y., Lai, W., Zhang, X.D., Wang, D.S., Li, H.: Ranking with Multiple Hyperplanes (2007)

    Google Scholar 

  17. Yu, H., Hwang, S.W., Chang, K.C.C.: Enabling Soft Queries for Data Retrieval. Information Systems (2007)

    Google Scholar 

  18. Freund, Y., Iyer, R., Schapire, R.E., Singer, Y.: An Efficient Boosting Algorithm for Combining Preferences. Journal of Machine Learning Research (2003)

    Google Scholar 

  19. McCullagh, P., Nelder, J.A.: Generalized Linear Models. Chapman and Hall, London (1983)

    Google Scholar 

  20. Fahrmeir, L., Tutz, G.: Multivariate Statistical Modelling Based on Generalized Linear Models. Springer, Heidelberg (2001)

    Book  MATH  Google Scholar 

  21. Yu, H., Kim, Y., Hwang, S.W.: RVM: An Efficient Method for Learning Ranking SVM. Technical Report, Department of Computer Science and Engineering, Pohang University of Science and Technology (POSTECH) (2008), http://iis.hwanjoyu.org/rvm

  22. Liu, T.Y., Xu, J., Qin, T., Xiong, W., Li, H.: LETOR: Benchmark Dataset for Research on Learning to Rank for Information Retrieval. In: SIGIR 2007: Proceedings of the Learning to Rank Workshop in the 30th Annual International ACM SIGIR Conference on Research and Development in Information Retrieval (2007)

    Google Scholar 

  23. Chang, C.C., Lin, C.J.: LIBSVM: A Library for Support Vector Machines(2001), http://www.csie.ntu.edu.tw/~cjlin/libsvm

  24. Jakulin, A., Mozina, M., Demsar, J., Bratko, I., Zupan, B.: Nomograms for Visualizing Support Vector Mchines (2005)

    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

Thuy, N.T.T., Vien, N.A., Viet, N.H., Chung, T. (2009). Probabilistic Ranking Support Vector Machine. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01510-6_40

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-01510-6_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01509-0

  • Online ISBN: 978-3-642-01510-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics