In this tutorial, we will learn about the computing Information-Gain for Continuous-Valued Attributes.
First of all, lets see that what are continuous attributes?
Continuous attributes can be represented as floating point variables. For example temperature, width, height, or weight of a body.
To calculate the split point is not a big deal. It is just a just a fun to find the split point. For example, we have the following data mentioned below;
How can we calculate the split point?
Solution to calculate the split point
First of all, we need to sort the data in ascending order. After sorting the data, data is shown in the table below.
Find the midpoint of first two numbers and calculate the information gain
Split point = (18+25) / 2 = 21
Infoincome<21(D) = 2/7(I(1,1)) + 5/7(I(2,3))
= 2/7(-1/2(log2(1/2)) – 1/2(log2(1/2))+5/7(-2/5(log2(2/5)) – 3/5(log2(3/5)))
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