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Gain ratio vs Gini index vs information gain basic concepts, definition, advantage and disadvantages

Question

Gain ratio vs Gini index vs information gain basic concepts, definition, advantage and disadvantages

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Sure, let's break down each of these concepts:

  1. Information Gain: This is a statistical property that measures how well a given attribute separates the training examples according to their target classification. It's the main key that a Decision Tree algorithm uses to construct a Decision Tree. Decision Trees algorithm will always tries to maximize Information gain.

    Advantages:

    • Easy to implement.
    • Favours those attributes that have a large number of distinct values (like ID).

    Disadvantages:

    • Tends to be biased towards attributes with many outcomes.
    • It can overfit the training data.
  2. Gain Ratio: This is a modification of the information gain that reduces its bias on high-valued attributes. It takes number and size of branches into account when choosing an attribute. It corrects the information gain by taking the intrinsic information of a split into account (i.e., it normalizes the information gain using a split information value).

    Advantages:

    • It overcomes the problem of bias by normalizing the information gain using Split Info attribute.

    Disadvantages:

    • It's a bit more complex to compute.
    • For attributes with unique outcomes for each instance (like ID), the Gain Ratio is undefined.
  3. Gini Index: This is a metric to measure how often a randomly chosen element would be incorrectly identified. It means an attribute with lower gini index should be preferred. Sklearn uses the Gini Index criterion for Information Gain computation.

    Advantages:

    • It performs only Binary splits.
    • Higher the value of Gini higher the homogeneity.

    Disadvantages:

    • It can create biased trees if some classes dominate.
    • It's more inclined to continuous attributes.

In summary, all these are metrics to measure the quality of a split for decision tree algorithms and they have their own advantages and disadvantages. The choice of which one to use depends on the specific problem and the nature of input data.

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