DOI QR코드

DOI QR Code

Multiclass Classification via Least Squares Support Vector Machine Regression

  • Shim, Joo-Yong (Department of Applied Statistics, Catholic University of Daegu) ;
  • Bae, Jong-Sig (Department of Mathematics, Sungkyunkwan University) ;
  • Hwang, Chang-Ha (Division of Information and Computer Science, Dankook University)
  • Published : 2008.05.30

Abstract

In this paper we propose a new method for solving multiclass problem with least squares support vector machine(LS-SVM) regression. This method implements one-against-all scheme which is as accurate as any other approach. We also propose cross validation(CV) method to select effectively the optimal values of hyper-parameters which affect the performance of the proposed multiclass method. Experimental results are then presented which indicate the performance of the proposed multiclass method.

Keywords

References

  1. Allwein, E. L., Schapire, R. E. and Singer, Y. (2000). Reducing multiclass to binary: A unifying approach for margin classifiers, Journal of Machine Learning Research, 1,113-141 https://doi.org/10.1162/15324430152733133
  2. Dietterich, T. G. and Bakiri, G. (1995). Solving multiclass learning problems via errorcorrecting output codes, Journal of Artificial Intelligence Research, 2, 263-286
  3. Kimeldorf, G. S. and Wahba, G. (1971). Some results on Tchebyche$\pm$an spline functions, Journal of Mathematical Analysis and Applications, 33, 82-95 https://doi.org/10.1016/0022-247X(71)90184-3
  4. Lee, Y., Lin, Y. andWahba, G. (2001). Multicategory support vector machines, Technical Report 1043, In Proceeding of the 33rd Symposium on the Interface
  5. Mercer, J. (1909). Functions of positive and negative type and their connection with the theory of integral equations, Philosophical Transactions of the Royal Society of London, Series A, 209, 415-446
  6. Rifkin, R. and Klautau, A. (2004). In defense of one-vs-all classification, The Journal of Machine Learning Research, 5, 101-141
  7. Shim, J., Hong, D. H., Kim, D. H. and Hwang, C. (2007). Multinomial kernel logistic regression via bound optimization approach, The Korean Communications in Statistics, 14, 507-516 https://doi.org/10.5351/CKSS.2007.14.3.507
  8. Suykens, J. A. K. and Vandewalle, J. (1999a). Least square support vector machine classifiers, Neural Processing Letters, 9, 293-300 https://doi.org/10.1023/A:1018628609742
  9. Suykens, J. A. K. and Vandewalle, J. (1999b). Multiclass least squares support vector machines, In Proceeding of the International Joint Conference on Neural Networks, 900-903
  10. Suykens, J. A. K. (2001). Nonlinear modelling and support vector machines, In Proceeding of the IEEE Instrumentation and Measurement Technology Conference, 287-294
  11. Vapnik, V. N. (1995). The Nature of Statistical Learning Theory, Springer, New York
  12. Vapnik, V. N. (1998). Statistical Learning Theory, John Wieley & Sons, New York
  13. Weston, J. and Watkins, C. (1998). Multi-Class SVM, Technical Report, 98-104, Royal Holloway University of London

Cited by

  1. An analysis of satisfaction index on computer education of university based on Fuzzy Decision Making Method vol.16, pp.4, 2013, https://doi.org/10.9717/kmms.2013.16.4.502