With this property, each individual problem g k ← arg max g k f k (g k ) + u A k g k can be decoded easily, with modifications to the first order weights Algorithm 2: The Joint Decoding Algorithm Initialization: set u (0) , A 1 , A 2 , A 3 to 0, for k = 0 to K do of the edges in the three models.
let w k = u A k , then we can modify the ω The update of w 1 , w 2 , w 3 can be understood in an intuitive way.