With this property, each individual problem g g g k ← arg max g g g k f k (g g g k ) + u A k g g g k can be decoded easily, with modifications to the firstorder weights of the edges in the three models.
let w k = u A k , then we can modify the ω k in s k to ω k , such that ω k (i, j, t) = ω k (i, j, t) + w k (i, j, t) + w k (j, i, t).