\begin{equation}
    \begin{aligned}
        \mathrm{multi}\mbox{-}\mathrm{modal}&: \tilde{F}_k\left( v_{A},v_{I} \right) =\mathcal{L} _{CE}^{k}\left( v_{A}^{},v_{I}^{} \right) +\beta ^k\mathcal{L} _{P}^{k}\left( v_{I}^{} \right)  
\\
\mathrm{uni}\mbox{-}\mathrm{modal}&: \tilde{F}_k\left( v_{I}^{} \right) =\mathcal{L} _{CE}^{k}\left( v_{I}^{} \right) +\beta ^k\mathcal{L} _{P}^{k}\left( v_{I}^{} \right) 
    \end{aligned}
    \label{eq:loss 2}
\end{equation}
