What Information Gain Meaning, Applications & Example

Measure of feature importance in decision trees.

What is Information Gain?

Information Gain is a measure used in decision trees to determine the effectiveness of a feature in classifying data. It quantifies the reduction in uncertainty (entropy) achieved by splitting the data based on a particular feature. A higher Information Gain indicates a more informative feature that helps in better classification .

How Information Gain Works

  1. Entropy: A measure of uncertainty or impurity in the data.
  2. Information Gain: The reduction in entropy after splitting the data on a particular feature. It is calculated as the difference between the entropy of the original set and the weighted entropy of the split subsets.

Applications of Information Gain

Example of Information Gain

In a decision tree for predicting whether a customer will buy a product based on age and income, if splitting the data based on age results in a significant reduction in uncertainty (information gain), age would be chosen as the first feature to split the data.

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