Multi-category support vector machines, feature selection and solution path

Statistica Sinica

Volumn 16, Issue 2, 2006, Pages 617-633

  Wang, Lifeng ^a   Shen, Xiaotong ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Genome classification; Hinge loss; L 1 norm; Penalty with; Regularization

Indexed keywords

EID: 33746108067     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. Bertsimas, D. and Tsitsiklis, J. N. (1997). Introduction to Linear Optimization. Athena Scientific, Belmont, Massachusetts.
2. Bredensteiner, E. J. and Bennett, K. P. (1999). Multicategory classification by support vector machines. Computat. Optim. Appl. 12, 35-46.
3. Efron, B., Hastie, T., Johnstone, I. and Tibshirani, R. (2004) Least angle regression. Ann. Statist. 32, 407-451.
4. Guermeur, Y. (2002). Combining discriminant models with new multi-class SVMs. Pattern Anal. Appl. 5, 168-179.
5. Hastie, T., Rosset, S., Tibshirani, R. and Zhu, J. (2004). The entire regularization path for the support vector machine. J. Mach. Learn. Res. 5, 1391-1415.
6. Khan, J., Wei, J., Rignr, M., Saal, L., Ladanyi, M., Westermann, F., Berthold, F., Schwab, M., Antonescu, C., Peterson, C. and Meltzer, P. (2001). Classification and diagnostic prediction of cancers using gene expression profiling and artificial neural networks. Nature Medicine 7, 673-679.
7. Lee, Y., Lin, Y. and Wahba, G. (2004). Multicategory Support Vector Machines, theory, and application to the classification of microarray data and satellite radiance data. J. Amer. Statist. Assoc. 99, 67-81.
8. Liu, Y. and Shen, X (2005). Multicategory psi-learning. J. Amer. Statist. Assoc. To appear.
9. Ramaswamy, S., Tamayo, P., Rifkin, R., Mukherjee, S., Yeang, C., Angelo, M., Ladd, C., Reich, M., Latulippe, E., Mesirov, J., Poggio, T., Gerald, W., Loda, M., Lander, E. and Golub, T. (2001). Multiclass cancer diagnosis using tumor gene expression signatures. Proc. Nat. Acad. Sci. 98, 15149-15154.
10. Vapnik, V. (1998). Statistical Learning Theory, Wiley, New York.
11. Wang, L. and Shen, X. (2005). On Li-norm multi-category support vector machines: methodology and theory. Manuscript.
12. Weston, J. and Watkins, C. (1998). Support vector machines for multiclass pattern recognition. Proceedings of the Seventh European Symposium on Artificial Neural Networks.
13. Zhu, J., Hastie, T., Rosset, S. and Tibshirani, R. (2003). 1-norm support vector machines. Neural Inf. Process. Systems 16.
14. Zhang, T. (2004). Statistical analysis of some multi-category large margin classification methods. J. Mach. Learn. Res. 5, 1225-1251.