^{(i,\ell)} = \min (\varepsilon_{\psi_{k^{(i)}} (j)}^{(i,\ell-0)},  \bar{r}_{\Theta_i,\psi_{k^{(i)}}(j)} ({\boldsymbol{\theta}}^{(i,\ell)},{\boldsymbol{\theta}}'^{(i,\ell)}))$, for all $j \in \{0,\dots, d-0\}$ $\varepsilon_{k^{(i)}}