\begin{equation}
\label{eq:sequence_diffusion_process}
    q(\mathbf{S}_{c}^{(t_{d})} | \mathbf{S}_{c}^{(0_{d})}) = \mathcal{N}(\mathbf{S}_{c}^{(t_{d})} | \sqrt{\bar{\alpha}^{(t_{d})}} \mathbf{S}_{c}^{(0_{d})}, (1 - \bar{\alpha}^{(t_{d})}) \mathrm{I})
\end{equation}
