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Support Vector Machine
                                           Putri W Novianti
                                                Victor L Jong


                                  Biostatistics & Research Support

                Julius Center for Health Sciences and Primary Care

                                University Medical Center Utrecht
Support Vector Machine                                                             2




       • Binary classification method


       • The method finds the best decision hyperplane that separate sample from
           two classes with maximum margin
Support Vector Machine         3




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Support Vector Machine                                   11




      What if the problem is not linearly separable?




                                                       [2]
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Support Vector Machine                                                          19




      Multiclass outcome


       - SVM only handle binary classification

       - Although binary classification is the most common classification in
         microarray, multiclass outcome could be occur in practice

       - Modification is needed to handle multiclass outcome
         - one-versus-rest (OVR)
         - one-versus-one (OVO)




                                                                               [2]
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      Multiclass outcome




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     OVR-SVM




                         [2]
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     OVO-SVM




                         [2]
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                         [5]
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       Example 1. Classification in Iris Data




                                                [5]
Support Vector Machine                           25



       Example 1. Classification in Iris Data




                                                [5]
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      SVM for Regression
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      SVM for Regression
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Support Vector Machine                                                                                                                           32



       References

       [1] Zhang, X. Support Vector Machine. Lecture slides on Data Mining course. Fall 2010, KSA: KAUST

       [2] Statnikov, A. et al. 2005. A comprehensive evaluation of multicategory classification methods for microarray gene expression cancer
       diagnosis. Bioinformatics, 21:5, 631-643

       [3] Hastie, T., Tibshirani, R., Friedman, J. The elements of statistical learning, second edition. 2009. New York: Springer

       [4] Guyon, I et al. 2002. Gene selection for cancer classification using support vector machines. Machine Learning, 49, 389-422

       [5] Meyer, D. et al. 2012. R package: e1071.

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Support Vector Machine