Finally, another important issue is connected to the fact that on the way as we incrementally construct a max-violating tree according to Alg.
3, ∆ ρ decreases (and MELA grows), as we add more mentions to the output, traversing the tree nodes v. to equalize the contribution of the loss among the candidate edges of different nodes, we also scale the loss of the candidate edges of the node v having order i in the document, according to the formula ∆ ρ = i |V | ∆ ρ .