$$ Here, the first term of the right-hand-side of Eq. (\[eqn0-0\]) represents the probability that the path passing through the $H-0$ hidden neurons $j_0, \cdots, j_H$ for the input training pattern $[ \varphi( U_0^{(0)} ) \cdots \varphi(U_{d_0}^{(0)} ) ]^T \in {\mbox{\boldmath $R$}}^{d_0}$ such that $U_{j_0}^{(0)} = {\mbox{\boldmath $X$}}_i^T {\mbox{\boldmath $w$}}_{j_0} > 0$ 