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\begin{align}
&\mathrm{MSD}^{\mathrm{network}}=\frac{1}{N}.\left[\mathrm{vec}(\mathcal{Y^T+\mathcal{R_{\zeta}}^T})\right]^T.(I-F_{\mathrm{dif}})^{-1}.\mathrm{vec}(I_{NM})\\
&\mathrm{MSD}_{k}=\left[\mathrm{vec}(\mathcal{Y}^T+\mathcal{R_{\zeta}}^T)\right]^T.(I-F_{\mathrm{dif}})^{-1}.\mathrm{vec}(\mathcal{J}_{k})\\
&\mathrm{EMSE}^{\mathrm{network}}=\frac{1}{N}.\left[\mathrm{vec}(\mathcal{Y}^T+\mathcal{R_{\zeta}}^T)\right]^T.(I-F_{\mathrm{dif}})^{-1}.\mathrm{vec}(\mathcal{R})\\
&\mathrm{EMSE}_{k}=\left[\mathrm{vec}(\mathcal{Y}^T+\mathcal{R_{\zeta}}^T)\right]^T.(I-F_{\mathrm{dif}})^{-1}.\mathrm{vec}(\mathcal{T}_{k})
\end{align}
}
}
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