Support Vector Machine Binary Classifier

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A Support Vector Machine Binary Classifier is a Support Vector Machine Classifier that is a Binary Classifiers.



References

2004

  • (Hastie et al., 2004) ⇒ Trevor Hastie, Saharon Rosset, Robert Tibshirani, and Ji Zhu. (2004). “The Entire Regularization Path for the Support Vector Machine.” In: The Journal of Machine Learning Research, 5.
    • The support vector machine (SVM) is a widely used tool for classification. Many efficient implementations exist for fitting a two-class SVM model. The user has to supply values for the tuning parameters: the regularization cost parameter, and the kernel parameters.
    • In this paper we study the support vector machine (SVM)(Vapnik, 1996; Schölkopf and Smola, 2001) for two-class classification. We have a set of [math]\displaystyle{ n }[/math] training pairs xi, yi, where xi in Rp is a p-vector of real-valued predictors (attributes) for the ith observation, and yi in {−1,+1} codes its binary response. We start off with the simple case of a linear classifier, where our goal is to estimate a linear decision function
    • ƒ(x) = β0Tx,
  • and its associated classifier
    • Class(x) = sign[ƒ(x)].