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Gini Impurity vs Entropy

Comparison as class proportion varies

Class proportion (p)

0

0.5

1

0

0.5

1

Legend

Gini: 2p(1-p)

Entropy: -p*log(p)

    -(1-p)*log(1-p) ^LCrmrnsv
  • Both = 0 at p=0 & p=1 (pure classes)

  • Both peak at p=0.5 (max impurity)

  • Gini max = 0.5 Entropy max = 1.0

  • Similar shape results in similar tree results

max