Act 15: Probabilistic Classification

In this activity, we make of use the results of Activity 14 and segregate two classes of objects in the image. In linear discriminant analysis (LDA) , this is done in two ways. First, a set of features that best distinguish an object is chosen, and then a classification rule or model is used to separate the objects. Much information for this activity was taken from http://people.revoledu.com/kardi/tutorial/LDA/.

We make use of the test image similar to Activity 14, except we eliminate all the largest seeds so that we will be left with only two groups.

The method for distinguishing the features of the objects used was also similar to that of Activity 14. From these data, we make use of LDA to classify the two objects into two separate classes. If LDA works, the separator between the two groups should be a line. Classifying the two groups with two discriminant functions will yield the plot below

It can be seen that the graph can easily be separated by a line. In fact, the two objects seem too distinct with each other.

I will give myself a grade of 10/10 for finishing this activity. I would like to thank Earl for this help in both data collection and programming.