ellipsis - Is it correct to omit this verb?

This form is OK (without "for which are"):

Instead, a linear combination of these two priors gives the maximum
success rate, the optimal weightings given by the
values of lambda at the maxima in figure 2 in each regime

and so is this form (with "for which are")

Instead, a linear combination of these two priors gives the maximum
success rate, the optimal weightings for which are given by the
values of lambda at the maxima in figure 2 in each regime

but this form is ungrammatical in formal writing (removing only "are"):

*Instead, a linear combination of these two priors gives the maximum
success rate, the optimal weightings for which given by the
values of lambda at the maxima in figure 2 in each regime