Table 1.

Equations corresponding to the graphical model in Figure 1(a)

$p(L(\mathbf{x})=l|L_n)=\text{exp}[\rho D_n^l(\mathbf{x})]/{\sum }_{l\prime =1}^{ℒ}\text{exp}[\rho D_n^{l\prime }(\mathbf{x})]$ $M~\frac{1}{Z_{\beta }}{\prod }_{x\in \Omega }\text{exp}(\beta {\sum }_{\mathbf{y}\in 𝒩(\mathbf{x})}\delta (M(\mathbf{x})=M(\mathbf{y})))$ L(x) ~ p(L(x) = l|LM(x)) ${\mathbf{I}}^{*}(\mathbf{x})~{(2\pi )}^{-\frac{C}{2}}{\left|{\Sigma }_{L(\mathbf{x})}\right|}^{-\frac{1}{2}}\text{exp}[-\frac{1}{2}{({\mathbf{I}}^{*}(\mathbf{x})-{\mathit{\mu }}_{L(\mathbf{x})})}^T{\Sigma }_{L(\mathbf{x})}^{-1}({\mathbf{I}}^{*}(\mathbf{x})-{\mathit{\mu }}_{L(\mathbf{x})})]$ I(x) = B(x)I* (x), with B(x) =diag(exp [−∑k bk ψk(x)])