Let's consider a dataset of feature vectors we want to classify:
For simplicity, we assume we are working with a bipolar classification (in all the other cases, it's possible to automatically use the one-versus-all strategy) and we set our class labels as -1 and 1:
Our goal is to find the best separating hyperplane, for which the equation is as follows:
In the following graph, there's a bidimensional representation of such a hyperplane: ...