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Information Gain

  • Information gain measures the expected reduction in entropy caused by partitioning the examples according to an attribute:

  • First term: entropy of the original collection S; second term: expected value of entropy after S is partitioned using attribute A (Sv subset of S).

  • Gain(S,A): The expected reduction in entropy caused by knowing the value of attribute A.

  • ID3 uses information gain to select the best attribute at each step in growing the tree.

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