Unfortunately that is the one thing I can't really answer! I moved out of this space shortly after we published this work so I'm not currently up to date with the research in the area.
That said if you like this sort of work, you should keep an eye out for papers coming out from Tromer/Genkin et. al., they often present impressive results:
and stuff from the guys at NewAE is usually well written and worth the read (although they are a startup and probably less focused on papers these days):
I'm one of the authors on the paper, it's few years old now but I'm happy to try answer any questions related to the work.