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Trying to understand an equation in "Regularized Multi-Class Semi-Supervised Boosting"

I have been reading Regularized Multi-Class Semi-Supervised Boosting and I can't seem to understand equation 2. From my understanding, the loss function "l" times the probability of "p" is the expected loss (i.e. how likely x is of class y). However, I have no idea what the "d" function is, the author never defines it.

Can someone please explain this equation to me? I've been trying to wrap my head around it.

submitted by zionsrogue
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