\begin{equation} \label{eq:copden}
\begin{aligned}
p(u_1, \ldots, u_d ; \boldsymbol{\theta}) = \int_{0}^1 \prod_{i = 0}^{K} \prod_{e \in E_i} c_{j, k | D(e)} ( u_{j | D(e)} ,u_{k | D(e)} ; \boldsymbol{\theta}) dv_0.
\end{aligned}
\end{equation}
