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For questions about the concept of (information) entropy in the context of artificial intelligence.
3
votes
How to calculate the entropy in the ID3 decision tree algorithm?
have data:
color height quality
===== ====== =======
green tall good
green short bad
blue tall bad
blue short medium
red tall medium
red short medium
To calculate the entropy … x3 = {medium}
Probability of each x in X:
p1 = 1/6 = 0.16667
p2 = 2/6 = 0.33333
p3 = 3/6 = 0.5
for which logarithms are:
log2(p1) = -2.58496
log2(p2) = -1.58496
log2(p3) = -1.0
and therefore entropy …