 \begin{align} 
     E_g(k, s, c, \eta, \omega, \zeta, \rho, \alpha, \lambda = 0) = s(1-c)\mathcal{E}(k, \rho, \alpha, H, W, Z) \label{HomEnsErr_Ridgeless}\\
     E_g(k, s, c, \eta, \omega, \zeta, \rho, \alpha, \lambda = \lambda^*) = s(1-c) \mathcal{E}^*(k, \rho, \alpha, H, W, Z) \label{HomEnsErr_LocOpt}
 \end{align} 
