... d() of Eq. 7 w.r.t. parametersλ is written in this form:∂d()∂λ= −Zλ(x, ψ)Zλ(x, ψ)−exp(ψg∗)·F (y∗, x)+y∈Yexp(ψg)Zλ(x, ψ)−exp(ψg∗)·F (y, x) (1 2)where g = λ · F (y, ... Pl=ks∗j∈s∗k1−l(d(y∗k, xk, s∗j, λ))·δ(s∗j)F Pl=ksj∈S(xk)\s∗kl(d(y∗k, xk, sj, λ))·δ(sj)F Nl=ks∗j∈s∗kl(d(y∗k, xk, s∗j, λ))·δ(s∗j)where δ(sj) ... Thatis:p(y|x; λ) =1Zλ(x)c∈C(y,x)Φc(y, x; λ)where Φc(y, x; λ) is a non-negative real value po-tential function on a clique c ∈ C(y, x). Zλ(x)=˜y∈Yc∈C(˜y,x)Φc ( ˜y, x;...