Derivation of Support Vector Machines

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Recently, I am experimenting with different mechanisms for deriving decision functions for multiclass classification problems. I have spent some time reading and experiementing with examples from the following references:

  1. Marti A. Hearst. 1998. Support Vector Machines. IEEE Intelligent Systems 13, 4 (July 1998), 18–28. DOI:
  2. James, Gareth & Witten, Daniela & Hastie, Trevor & Tibshirani, Robert. (2013). An Introduction to Statistical Learning: With Applications in R.

In light of this, I have contrived a few illustrative examples and derivations in thiw writeup:

SVM Derivation