MSVM, Poly.Penalized.Likelihood, Nonparametric.LASSO-variable selector
Grace Wahba
wahba at stat.wisc.edu
Tue Oct 29 21:40:01 EST 2002
Announcing papers recently available via
http://www.stat.wisc.edu/~wahba
click on TRLIST
1,2 and 3 below present the Multicategory Support Vector Machine (MSVM),
a generalization of the SVM which classifies to one of k categories via
a single optimization problem. 4 contrasts the MSVM with the
Polychotomous Penalized Likelihood estimate, which estimates
k probabilities, one for each category. 5 and 6 present a new
nonparametric variable selection and model building via likelihood
basis pursuit and a generalization of the LASSO.
1 Lee, Y., Lin, Y. and Wahba, G. " Multicategory Support Vector Machines,
Theory, and Application to the Classification of Microarray Data and
Satellite Radiance Data " TR 1064, September 2002.
2 Lee, Y. " Multicategory Support Vector Machines, Theory, and
Application to the Classification of Microarray Data and Satellite
Radiance Data " TR 1063, September 2002. PhD. Thesis.
3 Lee, Y. and Lee, C.-K. Classification of Multiple Cancer Types by
Multicategory Support Vector Machines Using Gene Expression Data. (ps)
TR 1051, April 2002, minor revisions July 2002.
4 Wahba, G. " Soft and Hard Classification by Reproducing Kernel Hilbert
Space Methods " (ps) (pdf) TR 1067, October 2002. To appear Proceedings
of the National Academy of Sciences.
5 Zhang, H. " Nonparametric Variable Selection and Model Building Via
Likelihood Basis Pursuit " TR 1066, September 2002. PhD. Thesis.
6 Zhang, H., Wahba, G., Lin, Y., Voelker, M., Ferris, M., Klein, R. and
Klein, B. Variable Selection and Model Building via Likelihood Basis
Pursuit (ps) (pdf) TR 1059, July, 2002.
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