From regression to classification in support vector machines

نویسندگان

  • Massimiliano Pontil
  • Ryan M. Rifkin
  • Theodoros Evgeniou
چکیده

We study the relation between support vector machines (SVMs) for regression (SVMR) and SVM for classification (SVMC). We show that for a given SVMC solution there exists a SVMR solution which is equivalent for a certain choice of the parameters. In particular our result is that for ǫ sufficiently close to one, the optimal hyperplane and threshold for the SVMC problem with regularization parameter Cc are equal to 1 1−ǫ times the optimal hyperplane and threshold for SVMR with regularization parameter Cr = (1−ǫ)Cc. A direct consequence of this result is that SVMC can be seen as a special case of SVMR.

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تاریخ انتشار 1999