Artificial IntelligenceAIMA Exercises

Suppose that an attribute splits the set of examples $E$ into subsets $E_k$ and that each subset has $p_k$ positive examples and $n_k$ negative examples. Show that the attribute has strictly positive information gain unless the ratio $p_k/(p_k+n_k)$ is the same for all $k$.

Suppose that an attribute splits the set of examples $E$ into subsets $E_k$ and that each subset has $p_k$ positive examples and $n_k$ negative examples. Show that the attribute has strictly positive information gain unless the ratio $p_k/(p_k+n_k)$ is the same for all $k$.

Submit Solution

Your Display Name
Email
Solution