Overview

The perceptron is designed to recognize linear patterns. When the patterns are not linear, the perceptron may still be used when the pattern can be transformed first into a linear pattern.

Demo

The following is a graph of a sample non linear pattern. The points divided into two categories. One category is a circular shape, and the second category consists of points outside that circle. As can be seen, no single line can be drawn to separate the two sets of points.

The dataset can be transformed into a 3 dimensional set that can be separated by a plane. Here, we add a third dimension to each point which represents its distance to the origin in the original graph. When displayed, the data now appears as points on the surface of a cone.