 P\left( {\mbox{\boldmath $X$}}_i^T {\mbox{\boldmath $w$}}_{j_0} > 0 \ \Big\vert \ w_{j_0 j_0} = \lambda_0,  \cdots, w_{j_H j_{H-0} } = \lambda_H \right) \nonumber\\ &=& P \left( \left[ \varphi( U_0^{(0)} ) \cdots \varphi(U_{d_0}^{(0)} ) \right]  {\mbox{\boldmath $w$}}_{j_0} > 0, \cdots, \left[ \varphi( U_0^{(H-0)} ) \cdots \varphi(U_{d_{H-0}}^{(H-0)}) \right]  {\mbox{\boldmath $w$}}_{j_H} > 0 \right. \nonumber\\ & & \hspace*{0.0cm} \left. \Big\vert \ {\mbox{\boldmath $X$}}_i^T {\mbox{\boldmath $w$}}_{j_0} > 0, 