Topic : Binary Classification, Sub: Computer Science 3. Consider the training examples shown in Table 4.2 for a binary classification problem. (a) What is the entropy of this collection of training examples with respect to the positive class? (b) What are the information gains of a1 and a2 relative to these training examples?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Topic : Binary Classification, Sub: Computer Science

3. Consider the training examples shown in Table 4.2 for a binary classification
problem.
(a) What is the entropy of this collection of training examples with respect
to the positive class?

(b) What are the information gains of a1 and a2 relative to these training
examples?

Table 4.2. Data set for Exercise 3.
Instance
a1
Target Class
1
T
T
1.0
6.0
3
T
F
5.0
4
F
F
4.0
F
7.0
6.
F
3.0
7
F
F
8.0
8.
F
7.0
9.
F
5.0
+ T + T ] I+ 1
Transcribed Image Text:Table 4.2. Data set for Exercise 3. Instance a1 Target Class 1 T T 1.0 6.0 3 T F 5.0 4 F F 4.0 F 7.0 6. F 3.0 7 F F 8.0 8. F 7.0 9. F 5.0 + T + T ] I+ 1
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