if they are important, you may want to have a full analysis on them, model them in a two country model, or at least put them in equal-numbered foreign equations.
if they are less important, model them as AR(1), in an SOE model
if they are less less important, model them as constants (care about the relative prices between them)
if they are least important, normalize them to 1.
cross-reference for point 1:
Regarding the interaction between deep learning and DSGE, you can have a look at: