I know I've seen it both ways, so is there a difference between the two, and which one is more commonly referred to?
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2What is the context in which this phrase was used? Where did you see this? – gung - Reinstate Monica Jul 14 '16 at 04:39
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Logarithmic loss = Logistic loss = log loss = $-y_i\log(p_i) - (1 -y_i) \log(1 -p_i)$
Sometimes people take a different logarithmic base, but it typically doesn't matter. I hear logistic loss more often.
FYI:

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