Scenario 5 - solving linearly non-separable problems
The hyperplane we have looked at till now is linear, for example, a line in a two-dimensional feature space, a surface in a three-dimensional one. However, in frequently seen scenarios like the following one, we are not able to find any linear hyperplane to separate two classes.
Intuitively, we observe that data points from one class are closer to the origin than those from another class. The distance to the origin provides distinguishable information. So we add a new feature and transform the original two-dimensional space into a three-dimensional one. In the new space, ...
