A colleague argues that you must always use Entropy over Gini because Entropy is "more mathematically principled." What is the most accurate response?

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In practice, Entropy and Gini rarely produce significantly different trees; Gini is computationally cheaper since it avoids logarithm calculations

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Entropy should only be used for multi-class problems; Gini only for binary

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Gini always produces deeper trees than Entropy

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Entropy is always superior because it comes from information theory

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A colleague argues that you must always use Entropy over Gini because Entropy is...

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