Quoting from this answer that explains how to do boosting when a 'link' function is involved:
"Instead, we can re-express this as a function of $L_i$, (in this case also known as the log odds)
$$ \sum_i y_i L_i - \log(1 + \exp(L_i)) $$
Then we can take the gradient of this with respect to $L$, and boost to directly minimize this quantity."
Is there a name for $L$ instead of the "quantity being boosted"?