Figure 4.13 shows that entropy and the Gini index are both monotonously increasing on the range [0, 0.5] and they are both monotonously decreas- ing on the range [0.5, 1]. Is it possible that information gain and the gain in the Gini index favor different attributes? Explain.
Consider the following data set for a binary class problem.
Yes, even though these measures have similar range and monotonous
behavior, their respective gains, ?, which are scaled differences of the
measures, do not necessarily behave in the same way, as illustrated by
the results in parts (a) and (b).
Computer Science & Information Technology
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Computer Science & Information Technology