Question: Consider a Decision Tree. Suppose that an attribute splits examples of E into subsets Ei and that each subset has pi positive examples and ni

Consider a Decision Tree. Suppose that an attribute splits examples of E into subsets Ei and that each subset has pi positive examples and ni negative examples. Show that the attribute has strictly positive information gain unless the ratio pi

(

+

)

is the same for all i

.

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love of humour, often as a device to lighten the occasion;

orderliness, patience and seeing a task through;

well defined status and roles (class distinctions);