Supporting the Math Behind Supporting Vector Machines!

Support Vector Machine(SVM) is a powerful classifier that works with both linear and non-linear data. If you have a n-dimensional space, then the dimension of the hyperplane will be (n-1). The goal of SVM is to find an optimal hyperplane that best separates our data so that distance from the nearest points in space to itself is maximized. To keep it simple, consider a road, which separates the left, right-side cars, buildings, pedestrians and makes the widest lane as possible. And those cars, buildings, really close to the street are the support vectors.